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Simplifying 7(1 + -4x) = 13(2x + -3) (1 * 7 + -4x * 7) = 13(2x + -3) (7 + -28x) = 13(2x + -3) Reorder the terms: 7 + -28x = 13(-3 + 2x) 7 + -28x = (-3 * 13 + 2x * 13) 7 + -28x = (-39 + 26x) Solving 7 + -28x = -39 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 7 + -28x + -26x = -39 + 26x + -26x Combine like terms: -28x + -26x = -54x 7 + -54x = -39 + 26x + -26x Combine like terms: 26x + -26x = 0 7 + -54x = -39 + 0 7 + -54x = -39 Add '-7' to each side of the equation. 7 + -7 + -54x = -39 + -7 Combine like terms: 7 + -7 = 0 0 + -54x = -39 + -7 -54x = -39 + -7 Combine like terms: -39 + -7 = -46 -54x = -46 Divide each side by '-54'. x = 0.8518518519 Simplifying x = 0.8518518519
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